Question 2Which collection of three side lengths will NOT form a triangle?

6 in, 10 in, 18 in

10 in, 12 in, 15 in

10 in, 15 in, 6 in

10 in, 18 in, 12 in

Answers

Answer 1

Answer: Side lengths with 6 in, 10 in, 18 will not form a triangle 'cause we know, that sum of shorter sides must be greater than the longer side but here it's not.

In short, Your Answer would be Option A

Hope this helps!

Answer 2

Answer: 6 in, 10 in, 18 in
The sides need to be in between (10-6) and (10+6) or between 4 and 16. But the third side here is 18, so that cannot qualify as a side.

Hope this helps.

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4. Which expression represents a number greater than 8,000 but smaller than 80,000

Answers

Answer:

8000<x<80000

Step-by-step explanation:

a number(x) is greater than (<) 8000

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters, and a variance of 49. If a random sample of 34 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.8 millimeters

Answers

The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is approximately 0.0668.

What is the standard deviation?

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

The standard deviation of the population is $√(49) = 7$ millimeters. The standard error of the sample mean is then

$(7)/(√(34)) = (7)/(5.874) \approx 1.2$ millimeters.

The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is the probability that it falls outside of the interval $(139 - 1.8, 139 + 1.8)$ . We can use the standard normal distribution to approximate this probability.

First, we need to convert the difference between the sample mean and the population means to standard units.

The difference of 1.8 millimeters is :

$(1.8)/(1.2) = 1.5$ standard units.

Then, we can use the standard normal distribution to find the probability that the sample mean falls outside of this interval.

This probability is equal to $1 - 2\Phi(-1.5) \approx 0.0668$ ,

where $\Phi$ is the standard normal cumulative distribution function.

Therefore, the required probability is approximately 0.0668.

Learn more about the standard deviation here:

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Help any tutor help

Answers

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To save money you set aside $50. For each following month you set aside 10% more than the previous month.How much money will you save in a year? Explain each step.

Answers

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Use the distributive property to remove the parentheses.2x+(6x2-9)
Simplify your answer as much as possible.

Answers

After removing the parentheses using the distributiveproperty, the expression $2x^4 (6x^2 - 9)$ simplifies to $12x^6 - 18x^4.$

We have,

To remove the parentheses using the distributiveproperty, we need to multiply each term inside the parentheses by the term outside the parentheses.

Applying the distributiveproperty to the expression $2x^4 (6x^2 - 9),$ we have: